SOLUTION: Hi Tutors: I am so lost over this one. Please help me: Find the intersection point (if there is one) and graph shading the appropriate areas: x+y >=0 and 2x+y<=4

Question 14138: Hi Tutors:
I am so lost over this one. Please help me:
Find the intersection point (if there is one) and graph shading the appropriate areas:
x+y >=0 and 2x+y<=4
Answer by longjonsilver(2297) (Show Source): You can put this solution on YOUR website!
intersection point is where the 2 equations are the SAME...they are equal at that point... the (x,y) of one equation is the same as the (x,y) of the other.

so, we have
x+y = 0 and
2x+y = 4

ignore the < and > for now...we are interested in where they ARE equal.

so sub 1 equation into the other and solve. Find the other variable afterwards.

Sketch the graph then... look at my lessons on sketching linear equations and also anything i have on inequalities too.

jon.

RELATED QUESTIONS
I just can't figure this out no matter how I try. I am to find an intersection point(if... (answered by longjonsilver)

I tried to listen in class, but the teacher was talking way over my head, and I lost her. (answered by Alan3354,solver91311)

(((I am thinking of three consecutive numbers. If I multiply the first with the second... (answered by stanbon)

Graph the inequalities of 9x+8y<72 and -7x-4y<=28 to find their solution set. Also find... (answered by TimothyLamb)

Hi, I am having such trouble with these equations. My book goes over one example in which (answered by richwmiller)

Ok hello any tutors out there I am doing pre algebra equations and I just can't... (answered by josgarithmetic)

Please help me for I am lost on this one..... PLOT THE GRAPH OF THE FOLLOWING FUNCTION (answered by Alan3354)

I need to graph the function {{{f(x)=2^(x-4)-2 and name at least one coordinate point. (answered by stanbon)

Please help me solve this equation - It is in fractions- I keep getting lost in my work (answered by stanbon)